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  • 06-06-2020
  • Mathematics
contestada

Prove the identity:
sin ((x))-(y)) / cos (x) sin (y) = tan (x) cot (y) - 1

Respuesta :

PollyP52 PollyP52
  • 06-06-2020

Answer:

Below.

Step-by-step explanation:

sin ((x))-(y)) / cos (x) sin (y)

    sin x cos y - cos x sin y

=  ----------------------------------

           cos x sin y

     sin x cos y

=    ----------------   -   1

     cos x sin y

But tan x = sin x / cos x  and cot y = cos y / sin y

So the above =  tan x cot y - 1.

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